Home / 205,932.75-284,191.94-115,286.43

Finding the Fourth Proportional to 205,932.75, 284,191.94 and 115,286.43

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Solution

The fourth proportional to 205,932.75, 284,191.94 and 115,286.43 is: 159,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,932.75 : 284,191.94 = 115,286.43 : x
  2. Step 2: Convert to fraction form
    205,932.75/284,191.94 = 115,286.43/x
  3. Step 3: Cross multiply
    205,932.75x = 284,191.94 × 115,286.43
  4. Step 4: Simplify right side
    205,932.75x = 32,763,473,620.94
  5. Step 5: Solve for x
    x = 32,763,473,620.94/205,932.75
  6. Step 6: Final answer
    x = 159,097.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.